Vol 11, No 3

Symplectic integrators with potential derivatives to third order

Wei Sun, Xin Wu, Guo-Qing Huang


Abstract An operator associated with third-order potential derivatives and a force gradient operator corresponding to second-order potential derivatives are used together to design a number of new fourth-order explicit symplectic integrators for the natural splitting of a Hamiltonian into both the kinetic energy with a quadratic form of momenta and the potential energy as a function of position coordinates. Numerical simulations show that some new optimal symplectic algorithms are much better than their non-optimal counterparts in terms of accuracy of energy and position calculations.


Keywords celestial mechanics — methods: numerical

Full Text

  • There are currently no refbacks.